Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy Export

@article{citeulike:6060456, abstract = {We describe some basic results for Quantum Stochastic Processes and present some new results about a certain class of processes which are associated to Quantum Iterated Function Systems (QIFS). We discuss questions related to the Markov property and we present a definition of entropy which is induced by a QIFS. This definition is a natural generalization of the Shannon-Kolmogorov entropy from Ergodic Theory. This definition is different from the one in the paper "A Thermodynamic Formalism for density matrices in Quantum Information" by the same authors.}, archivePrefix = {arXiv}, author = {Baraviera, A. and Lardizaal, C. F. and Lopes, A. O. and Cunha, M. Terra}, citeulike-article-id = {6060456}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0182}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0182}, day = {1}, eprint = {0911.0182}, keywords = {dynamical-system, entropy, quantum}, month = {Nov}, posted-at = {2009-11-03 15:13:54}, priority = {2}, title = {Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy}, url = {http://arxiv.org/abs/0911.0182}, year = {2009} }

TY - JOUR ID - citeulike:6060456 L3 - citeulike-article-id:6060456 N2 - We describe some basic results for Quantum Stochastic Processes and present some new results about a certain class of processes which are associated to Quantum Iterated Function Systems (QIFS). We discuss questions related to the Markov property and we present a definition of entropy which is induced by a QIFS. This definition is a natural generalization of the Shannon-Kolmogorov entropy from Ergodic Theory. This definition is different from the one in the paper "A Thermodynamic Formalism for density matrices in Quantum Information" by the same authors. TI - Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy KW - dynamical-system KW - entropy KW - quantum AU - Baraviera, A AU - Lardizaal, CF AU - Lopes, AO AU - Cunha, Terra PY - 2009/Nov/01/ UR - http://arxiv.org/abs/0911.0182 ER -